The school is going on a trip . The class teacher decided to divide the students into groups. A certain number of students can be arranged in groups of 4, 6, and 8 with no students left. Find the possible number of students.
A
68
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B
16
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C
28
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D
48
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Solution
The correct option is D 48 To find the number of students , we have to find the common multiples of 4,6, and 8
So, multiples of 4 = 4,8,12,16,20,24, 28,32, 36, 40, 44, 48, 52
6 = 6,12,18,24,30, 36, 42, 48, 54,60,66
8 = 8,16,24,32,40, 48, 56,64, 72, 80
Here, the common multiple are 24, 48
From the given options, option C is correct.